CALCULATOR
Principal Coterminal Angle in [0,360) Calculator
Principal Coterminal Angle in [0,360). Example: Angle: -450 degrees gives 270 degrees. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Half-open representable [0,360) result. A negative tiny angle whose360-minus-magnitude rounds to360 is repr
Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Half-open representable [0,360) result. A negative tiny angle whose360-minus-magnitude rounds to360 is represented as0, the equivalent seam endpoint; no blanket epsilon snapping. Positive tiny/subnormal angles remain unchanged. Derivation: Normalize |θ| first, reflect negative angles, then map any rounded360 seam to0.
Accepted inputs: Angle: -36,000 to 36,000 degrees.
How the calculation works
A=abs(θ); r=A-360floor(A/360); c=θ<0?360-r:r; return0 if c≥360 or c<0, otherwise c.
Worked example
With angle -450 degrees, principal coterminal angle in [0,360) is 270 degrees.
Assumptions and limits
Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Half-open representable [0,360) result. A negative tiny angle whose360-minus-magnitude rounds to360 is represented as0, the equivalent seam endpoint; no blanket epsilon snapping. Positive tiny/subnormal angles remain unchanged. Derivation: Normalize |θ| first, reflect negative angles, then map any rounded360 seam to0.